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| new nearly optimal codebooks from relative difference sets | |
| Zhou Zhengchun; Tang Xiaohu | |
| 2011 | |
| Source | ADVANCES IN MATHEMATICS OF COMMUNICATIONS
 |
| ISSN | 1930-5346 |
| Volume | 5Issue:3Pages:521-527 |
| English Abstract | Codebooks achieving the Welch bound on the maximum correlation amplitude are desirable in a number of applications. Recently, codebooks meeting (resp., nearly meeting) the Welch bound were constructed from difference sets (resp., almost difference sets). In this paper, a general connection between complex codebooks and relative difference sets is introduced. Several classes of codebooks nearly meeting the Welch bound are then constructed from some known relative difference sets using the general connection.; Codebooks achieving the Welch bound on the maximum correlation amplitude are desirable in a number of applications. Recently, codebooks meeting (resp., nearly meeting) the Welch bound were constructed from difference sets (resp., almost difference sets). In this paper, a general connection between complex codebooks and relative difference sets is introduced. Several classes of codebooks nearly meeting the Welch bound are then constructed from some known relative difference sets using the general connection. |
| Indexed Type | SCI |
| Keyword | Codebooks Signal Sets Welch Bound Difference Sets Almost Difference Sets Relative Difference Sets |
| Department | Zhou Zhengchun SW Jiaotong Univ Sch Math Chengdu 610031 Peoples R China. Tang Xiaohu SW Jiaotong Univ Provincial Key Lab Informat Coding & Transmiss Chengdu 610031 Peoples R China. Zhou Zhengchun Chinese Acad Sci State Key Lab Informat Secur Inst Software Beijing Peoples R China. |
| Subject | Computer Science ; Mathematics |
| Sponsorship | National Science Foundation of China (NSFC)60772086; Australia-China Special Fund61011120055; Fundemental Research Funds for the Central UniversitiesSWJTU09BR201, SWJTU09ZT37 |
| Language | 英语 |
| WOS ID | WOS:000293643300008 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/16081 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation GB/T 7714 | Zhou Zhengchun,Tang Xiaohu. new nearly optimal codebooks from relative difference sets[J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS,2011,5(3):521-527. |
| APA | Zhou Zhengchun,&Tang Xiaohu.(2011).new nearly optimal codebooks from relative difference sets.ADVANCES IN MATHEMATICS OF COMMUNICATIONS,5(3),521-527. |
| MLA | Zhou Zhengchun,et al."new nearly optimal codebooks from relative difference sets".ADVANCES IN MATHEMATICS OF COMMUNICATIONS 5.3(2011):521-527. |
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